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3334004240 = 24578576947
BaseRepresentation
bin1100011010111000…
…1101111000010000
322121100111222000112
43012232031320100
523312001113430
61310455140452
7145422365660
oct30656157020
98540458015
103334004240
111460a5a806
12790674728
13411959a98
14238b0c1a0
15147a6d195
hexc6b8de10

3334004240 has 80 divisors (see below), whose sum is σ = 8870539392. Its totient is φ = 1141588992.

The previous prime is 3334004237. The next prime is 3334004279. The reversal of 3334004240 is 424004333.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33340042402 = 22231168544675955200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 476447 + ... + 483393.

Almost surely, 23334004240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3334004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435269696).

3334004240 is an abundant number, since it is smaller than the sum of its proper divisors (5536535152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3334004240 is a wasteful number, since it uses less digits than its factorization.

3334004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7824 (or 7818 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 3334004240 is about 57740.8368488023. The cubic root of 3334004240 is about 1493.9017956067.

Adding to 3334004240 its reverse (424004333), we get a palindrome (3758008573).

The spelling of 3334004240 in words is "three billion, three hundred thirty-four million, four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 857 1714 3428 4285 5999 6856 6947 8570 11998 13712 13894 17140 23996 27788 29995 34280 34735 47992 48629 55576 59990 68560 69470 95984 97258 111152 119980 138940 194516 239960 243145 277880 389032 479920 486290 555760 778064 972580 1945160 3890320 5953579 11907158 23814316 29767895 41675053 47628632 59535790 83350106 95257264 119071580 166700212 208375265 238143160 333400424 416750530 476286320 666800848 833501060 1667002120 3334004240